Have you not come across situations where you thought
something is likely to happen but did not? Let’s say you thought your mom would
give you a cake as you bagged first place, but she proved you wrong by giving
you just a piece of chocolate? I am sure people have many times crossed such
situations in life. But not always do your predictions prove you wrong. You might be right when you thought it would rain!!!
So, how far can you rely on it? This is something
important because the science and technology world vastly depends on predictions.
We try explaining obscure science through mathematics. Sometimes the human made
mathematical formula go well with our predictions and sometimes it contradicts.
Just take a minute or so to do this. You might need a calculator to confirm.
What is 1÷9? Your calculator might show 0.1111111.
Alright! Now what is 2÷9? Your calculator might show 0.22222222. Agreed!! Now
what is 3÷9? 0.333333333 is the answer. By now you might be really confident
for your next answer. And yes it is 0.4444444. Well done! Now you have started
predicting your next couple of answers. But hold on! Your predictions might go
wrong. According to what you think your cal-C should get you the following
answers for the following equations.
5÷9=0.55555555
6÷9=0.66666666
7÷9=0.77777777
8÷9=0.88888888
9÷9=0.99999999
But your calculator never gives you a 0.99999999 for
the division 9 by 9. It always gives you 1. Neither you nor can I violate the
result.
This just implies to me that our predictions are always
approximated to some degree, small or big with the happenings in reality. When
it is small we tend to say what we have predicted is right and when the gap is
big we say our prediction is wrong.
One might ask if no one in the world has seen how an
atom looks like, then how is it possible to define a structure for it? And I
would just say, scientists predicted the atom to be a homogeneous mix initially.
But their prediction was proved “wrong” when Rutherford in 1911 showed there is
a nucleus. He did this by shooting alpha particles at other atoms like gold and
observed the change in which they bounced back.
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